%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : ALG395-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 14 17:40:07 EDT 2022
% Result : Unsatisfiable 1.00s 1.19s
% Output : CNFRefutation 1.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of clauses : 7 ( 6 unt; 0 nHn; 6 RR)
% Number of literals : 8 ( 0 equ; 4 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 2 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 4 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_poly__minimum__modulus_0,axiom,
c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(V_p,v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__minimum__modulus__1(V_p),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(V_p,V_w,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal) ).
cnf(cls_conjecture_0,negated_conjecture,
~ v_thesis____ ).
cnf(cls_conjecture_1,negated_conjecture,
( v_thesis____
| ~ c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_pa____,V_xa,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_pa____,hAPP(v_x,V_xa),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal) ) ).
cnf(refute_0_0,plain,
~ c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_pa____,V_xa,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_pa____,hAPP(v_x,V_xa),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),
inference(resolve,[$cnf( v_thesis____ )],[cls_conjecture_1,cls_conjecture_0]) ).
cnf(refute_0_1,plain,
~ c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_pa____,v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__minimum__modulus__1(v_pa____),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_pa____,hAPP(v_x,v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__minimum__modulus__1(v_pa____)),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),
inference(subst,[],[refute_0_0:[bind(V_xa,$fot(v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__minimum__modulus__1(v_pa____)))]]) ).
cnf(refute_0_2,plain,
c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_pa____,v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__minimum__modulus__1(v_pa____),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_pa____,hAPP(v_x,v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__minimum__modulus__1(v_pa____)),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),
inference(subst,[],[cls_poly__minimum__modulus_0:[bind(V_p,$fot(v_pa____)),bind(V_w,$fot(hAPP(v_x,v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__minimum__modulus__1(v_pa____))))]]) ).
cnf(refute_0_3,plain,
$false,
inference(resolve,[$cnf( c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_pa____,v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__minimum__modulus__1(v_pa____),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_pa____,hAPP(v_x,v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__minimum__modulus__1(v_pa____)),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal) )],[refute_0_2,refute_0_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG395-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n025.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 8 16:43:35 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 1.00/1.19 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.00/1.19
% 1.00/1.19 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 1.00/1.20
%------------------------------------------------------------------------------